Find the value of x in the triangle shown below.

Answer:

[tex]2\sqrt{51}[/tex]

Step-by-step explanation:

first, you have to look pythagoras theorem (in picture)

then; x² + 14² = 20²

x² + 196 = 400

x² = 204

x = [tex]\sqrt{204}[/tex] = [tex]2\sqrt{51}[/tex]

Hope this helps ^-^

The length of the unknown side ( x )

We'll have to use pythagoras Theorem.

[tex]\huge\boxed{\sf{Formula: {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

In this question hypotenuse is given so we'll have to subtract.

Let the unknown be "x"

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {x}^{2} = {20}^{2} - {14}^{2} [/tex]

[tex]x = 204[/tex]

[tex] {x}^{2} = \sqrt{204} [/tex]

[tex]x = 14.28285686[/tex]

[tex]\large\boxed{\sf{x = 14.3 \: (nearest \: tenth)}}[/tex]

Hence, the unknown side of the given triangle is 14.3

Answer:

907.46 ft²

Step-by-step explanation:

Area of a full circle = πr²

Area of a quarter circle would therefore = ¼(πr²)

Where,

r = 34 ft

π = 3.14

Area of quarter circle = ¼(3.14 × 34²) = ¼(3,629.84)

Area of quarter circle = 907.46 ft²

Answer:

7040 yards

Step-by-step explanation:

Because 1 mile = 1760 yards.  So 4 x 1760 = 7040.

Answer:

7040 I think

Step-by-step explanation:

sorry if I'm wrong

Answer: The shapes that have parallel sides would be the blue diamond               (bottom right) and the green trapezoid (top right).

The shapes that have the parallel sides should be blue diamond               (bottom right) and the green trapezoid (top right).

The parallel sides are considered as the two sides or line that should be parallel to one other also it contain the same kind of distance also it never intersected or even touched to one another.

hence, The shapes that have the parallel sides should be blue diamond               (bottom right) and the green trapezoid (top right).

Learn more about sides here: https://brainly.com/question/18190212

Answer:

B

Step-by-step explanation:

The formula for area for a circle is [tex]a = \pi[/tex] x r^2

Answer:

Check to see if each input value is paired with only one output value. If so, the table represents a function.

Yes. It is a function.

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

y = 1/2x - 2.5

Step-by-step explanation:

(15, 5) and (42, 18.5)

Slope:

m=(y2-y1)/(x2-x1)

m=(18.5 - 5)/(42 - 15)

m = (13.5)/27

m = 1/2

y - y1 = m(x - x1)

y - 5 = 1/2(x - 15)

y - 5 = 1/2x - 7.5

y = 1/2x - 2.5

Answer:

2   or    1/2

Step-by-step explanation:

change in y over change in x

you didnt define what what x and what was y so ill provide both answers and you can figure which is correct

42-15/18.50-5   =27/13.5   =2

18.50-5/42-15    =13.5/27  =1/2

:)

Answer:

B and F are congruent tell me if its wrong

Step-by-step explanation:

Answer:

∠ B and ∠ F

Step-by-step explanation:

Given that

EFGH and ABCD are congruent then corresponding angles are congruent.

Then ∠ B and ∠ F are corresponding and congruent

Answer:

x = -3.73 or -0.27

Step-by-step explanation:

From the question,

x²+ 4x+1 = 0

This is a quadratic equation, and it can be solved using any of the 3 methods.

Using completing the square method,

x²+4x = -1

Add half the coeffiecient of x, square it and add it to both side of the equation.

The coefficient of x is 4,

half the cofficient is 2

Add 2² to both side of the equation

x²+4x+2² = -1+2²

(x+2)² = 3

x+2 = ±√3

x+2 = ±1.73

Either,

x+2 = -1.73

x = -1.73-2

x = -3.73

or

x+2 = +1.73

x = =1.73-2

x = -0.27

Answer:

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Answer:

a + [tex]11^{3}[/tex]

or

a + 1331

Step-by-step explanation:

The sum of 11 cubed and a

[tex]11^{3}[/tex] + a

or

1331 + a

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

Answer:

hey,i can answer the question but i cant really see the coordinates

Step-by-step explanation:

Answer:

both ansers are 2.7

Step-by-step explanation:

This is an 45˚, 45˚, 90˚ so the two smaller sides are equal so x=5.4.

the hypotenuse is always sqrt2 times bigger than the smaller sizes so y=[tex]5.4\sqrt{2}[/tex]

Answer:

It is the 3rd option

Step-by-step explanation:

Answer:

Function A

Step-by-step explanation:

Answer:

Function A?

Step-by-step explanation:

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Answer:

1 ._11

2.11

3._84

4._0.333

Given:

The vertex of a quadratic function is (-5,-1) and it passes through the point (-2,2).

To find:

The vertex and standard form of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]f(x)=a(x-h)^2+k[/tex]

Where, a is a constant, (h,k) is vertex.

The vertex of a quadratic function is (-5,-1). It means [tex]h=-5,k=-1[/tex].

[tex]f(x)=a(x-(-5))^2+(-1)[/tex]

[tex]f(x)=a(x+5)^2-1[/tex]             ...(i)

The quadratic function passes through the point (-2,2). Putting [tex]x=-2,f(x)=2[/tex] in (i), we get

[tex]2=a(-2+5)^2-1[/tex]

[tex]2+1=a(3)^2[/tex]

[tex]3=9a[/tex]

[tex]\dfrac{1}{3}=a[/tex]

Putting [tex]a=\dfrac{1}{3}[/tex] in (i), we get

[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]

Therefore, the vertex for of the quadratic function is [tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex].

The standard form of a quadratic function is:

[tex]f(x)=Ax^2+Bx+C[/tex]

We have,

[tex]f(x)=\dfrac{1}{3}(x+5)^2-1[/tex]

[tex]f(x)=\dfrac{1}{3}(x^2+10x+25)-1[/tex]

[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{25}{3}-1[/tex]

[tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex]

Therefore, the standard form of a quadratic function is [tex]f(x)=\dfrac{1}{3}x^2+\dfrac{10}{3}x+\dfrac{22}{3}[/tex].

Answer:

change the date of 4images and the giant is the quiz on my essay

Step-by-step explanation:

you wanna play 3rd party or something else do it was 4th day

Answer:

its SAS

Step-by-step explanation:

segment ST is is one side then PS and RD is another because of the line across both of those and angle S

Answer:

C

Show your work:

A perpendicular line has a negative reciprocal slope so 2/3 becomes -3/2, then substitute your point (-6,4) and you get letter C

I used your picture since your Question does not match the picture.

Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

Answer:

Y=1.50

Step-by-step explanation:

For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others

1) 4x1.50= 6.00

2)5.00/1.50= 3 and 1/3

Answer:

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Step-by-step explanation:

Given

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Required

Simplify

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Open both brackets

[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]

This gives

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]